1*de336b0cSDavid Schultz /*
2*de336b0cSDavid Schultz * ====================================================
3*de336b0cSDavid Schultz * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4*de336b0cSDavid Schultz * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
5*de336b0cSDavid Schultz *
6*de336b0cSDavid Schultz * Developed at SunSoft, a Sun Microsystems, Inc. business.
7*de336b0cSDavid Schultz * Permission to use, copy, modify, and distribute this
8*de336b0cSDavid Schultz * software is freely granted, provided that this notice
9*de336b0cSDavid Schultz * is preserved.
10*de336b0cSDavid Schultz * ====================================================
11*de336b0cSDavid Schultz */
12*de336b0cSDavid Schultz
13*de336b0cSDavid Schultz /*
14*de336b0cSDavid Schultz * ld80 version of k_sin.c. See ../src/k_sin.c for most comments.
15*de336b0cSDavid Schultz */
16*de336b0cSDavid Schultz
17*de336b0cSDavid Schultz #include "math_private.h"
18*de336b0cSDavid Schultz
19*de336b0cSDavid Schultz static const double
20*de336b0cSDavid Schultz half = 0.5;
21*de336b0cSDavid Schultz
22*de336b0cSDavid Schultz /*
23*de336b0cSDavid Schultz * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
24*de336b0cSDavid Schultz * |sin(x)/x - s(x)| < 2**-72.1
25*de336b0cSDavid Schultz *
26*de336b0cSDavid Schultz * See ../ld80/k_cosl.c for more details about the polynomial.
27*de336b0cSDavid Schultz */
28*de336b0cSDavid Schultz #if defined(__amd64__) || defined(__i386__)
29*de336b0cSDavid Schultz /* Long double constants are slow on these arches, and broken on i386. */
30*de336b0cSDavid Schultz static const volatile double
31*de336b0cSDavid Schultz S1hi = -0.16666666666666666, /* -0x15555555555555.0p-55 */
32*de336b0cSDavid Schultz S1lo = -9.2563760475949941e-18; /* -0x15580000000000.0p-109 */
33*de336b0cSDavid Schultz #define S1 ((long double)S1hi + S1lo)
34*de336b0cSDavid Schultz #else
35*de336b0cSDavid Schultz static const long double
36*de336b0cSDavid Schultz S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
37*de336b0cSDavid Schultz #endif
38*de336b0cSDavid Schultz
39*de336b0cSDavid Schultz static const double
40*de336b0cSDavid Schultz S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
41*de336b0cSDavid Schultz S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
42*de336b0cSDavid Schultz S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
43*de336b0cSDavid Schultz S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
44*de336b0cSDavid Schultz S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
45*de336b0cSDavid Schultz S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
46*de336b0cSDavid Schultz S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
47*de336b0cSDavid Schultz
48*de336b0cSDavid Schultz long double
__kernel_sinl(long double x,long double y,int iy)49*de336b0cSDavid Schultz __kernel_sinl(long double x, long double y, int iy)
50*de336b0cSDavid Schultz {
51*de336b0cSDavid Schultz long double z,r,v;
52*de336b0cSDavid Schultz
53*de336b0cSDavid Schultz z = x*x;
54*de336b0cSDavid Schultz v = z*x;
55*de336b0cSDavid Schultz r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))));
56*de336b0cSDavid Schultz if(iy==0) return x+v*(S1+z*r);
57*de336b0cSDavid Schultz else return x-((z*(half*y-v*r)-y)-v*S1);
58*de336b0cSDavid Schultz }
59